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Finding the Fourth Proportional to 7,762.08, 11,638.63 and 5,299.89

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Solution

The fourth proportional to 7,762.08, 11,638.63 and 5,299.89 is: 7,946.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.08 : 11,638.63 = 5,299.89 : x
  2. Step 2: Convert to fraction form
    7,762.08/11,638.63 = 5,299.89/x
  3. Step 3: Cross multiply
    7,762.08x = 11,638.63 × 5,299.89
  4. Step 4: Simplify right side
    7,762.08x = 61,683,458.75
  5. Step 5: Solve for x
    x = 61,683,458.75/7,762.08
  6. Step 6: Final answer
    x = 7,946.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.